Let's divide 6337499 by 829
We want to divide 6337499 by 829.

Advancing to step 1:
829 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 829

Moving on to step 2:
When dividing 63 by 829, we get 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Grab the next digit (3) from the dividend, add it to 63, then carry on: 633 / 829

Going ahead to step 3:
829 can be fit into 633 0 times, resulting in a remainder of 633.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 633, we get 633.
Append the next digit (7) from the dividend to 633 and continue with: 6337 / 829

On to step 4:
When dividing 6337 by 829, we get 7 with a remainder of 534.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 5803 from 6337 and we're left with 534.
Append the next digit (4) from the dividend to 534 and continue with: 5344 / 829

On to step 5:
829 goes into 5344 6 times with a remainder of 370.
Write down 6 as next digit of the result. 
Result so far: 76.0
If we subtract 4974 from 5344, we get 370.
Grab the next digit (9) from the dividend, add it to 370, then carry on: 3709 / 829

Going ahead to step 6:
829 goes into 3709 4 times with a remainder of 393.
Put 4 as the next digit of the answer. 
Result so far: 764.0
Subtract 3316 from 3709 to get 393.
Take the next digit (9) from the dividend and append it to 393, then repeat: 3939 / 829

Step 7:
When dividing 3939 by 829, we get 4 with a remainder of 623.
Put 4 as the next digit of the answer. 
Result so far: 7644.0
Subtract 3316 from 3939 to get 623.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6230, and continue the process.

Advancing to step 8:
829 goes into 6230 7 times with a remainder of 427.
Use 7 as the next digit of our solution. 
Result so far: 7644.7
Subtracting 5803 from 6230 leaves us with 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

Let's proceed to step 9:
When dividing 4270 by 829, we get 5 with a remainder of 125.
Put 5 as the next digit of the answer. 
Result so far: 7644.75
The remainder is 125 after subtracting 4145 from 4270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Step 10:
829 can be fit into 1250 1 times, resulting in a remainder of 421.
Record the quotient 1 as the next digit in the result. 
Result so far: 7644.751
Subtract 829 from 1250 to get 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4210, and continue the process.

On to step 11:
The number 829 fits into 4210 5 times, leaving a remainder of 65.
The next digit of our result is 5. 
Result so far: 7644.7515
Subtracting 4145 from 4210 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 12:
829 goes into 650 0 times with a remainder of 650.
The next digit of our result is 0. 
Result so far: 7644.7515
The remainder is 650 after subtracting 0 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Let's proceed to step 13:
6500 divided by 829 is 7 with a remainder of 697.
Write down 7 as next digit of the result. 
Result so far: 7644.751507
If we subtract 5803 from 6500, we get 697.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6970, and continue the process.

Going ahead to step 14:
The number 829 fits into 6970 8 times, leaving a remainder of 338.
The next digit of our result is 8. 
Result so far: 7644.7515078
Deduct 6632 from 6970 and we're left with 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

Going ahead to step 15:
If we divide 3380 by 829, we get 4 and a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 7644.75150784
Subtracting 3316 from 3380 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 7644.75150784 with a remaining 6.4e-08.